高斯光束通过有硬边光阑ABCD光学系统的近似解析传输公式

Approximate close-form expression for Gaussian beams passingthrough an ABCD optical system with hard-edge aperture

对高斯光束通过有硬边光阑近轴 ABCD光学系统的传输进行了研究 ,采用将矩形函数展开为复高斯函数的技巧 ,推导出了近似的解析传输公式。以高斯光束在有光阑情况下自由空间的传输为例进行了数值计算 ,对所用方法能节约大量机时的优点和计算误差作了讨论 ,并进一步推广用于平面波和平顶高斯光束 ,证实了这一方法具有广泛的应用意义。

The propagation of Gaussian bea ms through a paraxial ABCD optical system with hard edge aperture is studied. In the treatment the rectangular function is expanded into a sum of complex Gaussia n functions, thus the approximate analytical propagation expression can be deriv ed. As an application example, numerical calculations are performed for Gaussian beams propagating in free space with hard edge aperture. The advantage of grea tly reducing the computing time and computation errors are discussed. Further ex tension to plane waves and flattened Gaussian beams is made to confirm the wide applicability of this method.